2024-03-28T16:40:32Z
https://jahla.hatef.ac.ir/?_action=export&rf=summon&issue=14738
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
On the free S^{ω}_{1} -algebras
A.
Di Nola
R.
Grigolia
R.
Liparteliani
One and two-generated free MV -algebras are algebraically described in the variety generated by perfectMV -algebras.
MV -algebra
free algebra
generated free
perfect MV algebra
Variety
2020
05
01
1
7
https://jahla.hatef.ac.ir/article_107882_c14cc999526ac741880fda9ed9e82940.pdf
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
Two dimensional event set and its application in algebraic structures
Y.B.
Jun
Two dimensional event set is introduced, and it is applied to algebraic structures. Two dimensional BCK/BCI-eventful algebra, paired B-algebra and paired BCK/BCI-algebra are defined, and several properties are investigated. Conditions for two dimensional eventful algebra to be a B-algebra and a BCK/BCI-algebra are provided. The process of inducing a paired B-algebra using a group is discussed. Using two dimensional BCI-eventful algebra, a commutative group is established.
Two dimensional event (set)
two dimensional BCK/BCIeventful algebra
paired Balgebra
paired BCK/BCIalgebra
2020
05
01
9
21
https://jahla.hatef.ac.ir/article_107883_93c682b3f244420e036169ada670a378.pdf
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
Some properties of n-hyperideals in commutative hyperrings
S.
Omidi
B.
Davvaz
J.
Zhan
In this paper, we reformulate several results in commutative algebra in terms of commutative hyperrings. We introduce n-hyperideals in commutative hyperrings and give its some basic properties. Based on new definitions and theorems, we obtain some results in the hyperring theory. Also, the paper is stated a characterization for fundamental n-hyperideals.
Commutative hyperring
homomorphism
n-hyperideal
2020
05
01
23
30
https://jahla.hatef.ac.ir/article_107885_b62b01d88e910fecee237b2c1dedef67.pdf
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
Fuzzy congruence relations on pseudo BE-algebras
A.
Rezaei
A.
Borumand Saeid
Q.
Zhan
In this paper, we introduce the concept of fuzzy congruence relations on a pseudo BE-algebra and some of properties are investigated. We show that the set of all fuzzy congruence relations is a modular lattice and the quotient structure induced by fuzzy congruence relations is studied.
(pseudo) BE-algebra
(fuzzy) congruence relation
(fuzzy) medial filter
2020
05
01
31
43
https://jahla.hatef.ac.ir/article_107886_b085535d661de3bf0831f25c03c23bdb.pdf
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
Hyper equality ideals: Basic properties
A.
Paad
M.
Bakhshi
In this paper, the concept of (strong) hyper equality ideals in bounded hyper equality algebras are introduced and several properties and related results are given. Also, the properties of hyper equality ideals of the direct product of bounded hyper equality algebras are investigated; we prove that any (strong) hyper equality ideal of the direct product of hyper equality algebras is representable with respect to the product of (strong) hyper equality ideals of any direct component. In the sequel, we investigate the relationships between hyper equality ideals and hyper deductive systems in good bounded hyper equality algebras. Furthermore, we show how one can construct a hyper congruence relation via a strong hyper equality ideal so that the congruence classes form a hyper equality algebra.
(Involutive) Hyper equality algebra
(strong) hyper equality ideal
hyper congruence
Direct product
2020
05
01
45
56
https://jahla.hatef.ac.ir/article_107888_f05cf8098d355be1c2d9ca497172becb.pdf
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
MBJ-neutrosophic filters of equality algebras
M.
Mohseni Takallo
M.
Aaly
In this paper, we introduce the notion of MBJneutrosophic sub-algebra and MBJ-neutrosophic filter on equality algebras and investigate some equivalence definitions, properties and the relation between them. Also, by using the notion of MBJ-neutrosophic filter, we introduce a congruence relation on equality algebra and show that the quotient is an equality algebra.
MBJ-neutrosophic set
MBJneutrosophic filter
Equality algebra
Filter
2020
05
01
57
75
https://jahla.hatef.ac.ir/article_107889_02b5186de3ea9d6dc491235f5cc47bb0.pdf
Journal of Algebraic Hyperstructures and Logical Algebras
JAHLA
2676-6000
2676-6000
2020
1
2
A note on UP-hyperalgebras
A.
Iampan
A.
Satirad
M.
Songsaeng
We introduce the concept of UP-hyperalgebras which is a generalization of UP-algebras, and investigate some related properties. Moreover, we introduce the concepts of UP-hypersubalgebras, UP-hyperideals of types 1 and 2, and s-UP-hyperideals of types 1 and 2 in UPhyperalgebras and give some relations among these co
UP-hyperalgebra
UP-hyper subalgebra
UP-hyperideal of types 1 and 2
s-UPhyperideal of types 1 and 2
1999
11
30
77
95
https://jahla.hatef.ac.ir/article_107891_b612a2b349b27cd543ec29a2db61be7d.pdf